A simple numerical scheme to linear radiative transfer in hollow and solid spheres

Abstract

In this work we consider the linear radiative transfer in hollow and solid spheres and the solution in a medium with diffusely reflecting boundaries and energy source as well. The discrete ordinates method with diamond differences scheme is used to calculate the radiation intensities and the partial heat fluxes at the boundaries. Ours results were obtained for forward, isotropic and backward scattering and were compared with data in the literature.

Keywords

• linear radiative transfer
• hollow and solid spheres
• discrete ordinates method
• diamond diffences